Results 81 to 90 of about 482 (178)

The binomial sequence spaces of nonabsolute type

Journal of Inequalities and Applications, 2016
In this paper, we introduce the binomial sequence spaces b 0 r , s $b^{r,s}_{0}$ and b c r , s $b^{r,s}_{c}$ of nonabsolute type which include the spaces c 0 $c_{0}$ and c, respectively.
Mustafa Cemil Bişgin
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SCHAUDER BASIS AND SEQUENCER SPACES IN GENERAL TOPOLOGICAL VECTOR SPACES

Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)
Minkowski functionals of balanced neighbourhoods of zero are used to define sequence spaces in which sequences are sequences in general non locally convex topological vector spaces. The classical result “Every basis in a complete metrizable \linebreak topological vector space is a Schauder basis” is generalized for such sequence spaces.
Moorthy, C. Ganesa, Raj, Saminathan Iruthaya   +1 more
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Remarks on the FPP in Banach spaces with unconditional Schauder basis

, 2023
This paper brings new results on the FPP in Banach spaces $X$ with a Schauder basis. We first deal with the problem of whether there is a Banach space isomorphic to $\co$ having the FPP. We show that the answer is negative if $X$ contains a pre-monotone basic sequence equivalent to the unit basis of $\co$.
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On the Nevanlinna's Theory for Vector-Valued Mappings

Abstract and Applied Analysis, 2010
The purpose of this paper is to establish the first and second fundamental theorems for an E-valued meromorphic mapping from a generic domain D⊂ℂ to an infinite dimensional complex Banach space E with a Schauder basis. It is a continuation of the work of
Zu-Xing Xuan, Nan Wu
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The binomial sequence spaces which include the spaces ℓ p $\ell_{p}$ and ℓ ∞ $\ell_{\infty}$ and geometric properties

Journal of Inequalities and Applications, 2016
In this work, we introduce the binomial sequence spaces b p r , s $b^{r,s}_{p}$ and b ∞ r , s $b^{r,s}_{\infty}$ which include the spaces ℓ p $\ell_{p}$ and ℓ ∞ $\ell _{\infty}$ , in turn. Moreover, we show that the spaces b p r , s $b^{r,s}_{p}$ and b ∞
Mustafa Cemil Bişgin
doaj   +1 more source

On compactoidity in non-archimedean locally convex spaces with a Schauder basis

Indagationes Mathematicae (Proceedings), 1988
A subset A of a locally convex space E over a non-archimedean non- trivially valued complete field K is compactoid if for each zero neighborhood V in E there exists a finite set \(F\subseteq E\) such that \(A\leq V+C(F)\) where C(F) is the absolutely convex hull of F. It is a pure compactoid if in the above we can choose \(F\leq A.\) Gruson and Van Der
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Paranormed Motzkin sequence spaces

Dera Natung Government College Research Journal
In this article, it is obtained two new paranormed sequence spaces $c_0(\mathcal{M}, \mathfrak{p})$ and $c(\mathcal{M},\mathfrak{p})$ by the aid of the conservative Motzkin matrix operator $\mathcal{M}$ and is examined some topological properties of ...
Sezer Erdem, Serkan Demiriz, Hacer Bilgin Ellidokuzoğlu   +2 more
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Characterizing the R-duality of g-frames

Journal of Inequalities and Applications, 2019
In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with respect to g-orthonormal bases for a separable Hilbert space.
Liang Li, Pengtong Li
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Matrix transformations of Schauder bases [PDF]

Studia Mathematica, 1967
Baric, L. W., Ruckle, W.
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Evolution Differential Equations in Fréchet Space with Schauder Basis

, 2014
We consider evolution differential equations in Fréchet spaces that possess unconditional Schauder basis and construct a version of the majorant functions method to obtain existence theorems for Cauchy problems. Applications to PDE and ODE have been considered.
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